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2\left(-a^{2}b^{2}+2ab^{2}-3a^{2}b^{3}\right)
Factor out 2.
ab^{2}\left(-a+2-3ab\right)
Consider -a^{2}b^{2}+2ab^{2}-3a^{2}b^{3}. Factor out ab^{2}.
2ab^{2}\left(-a+2-3ab\right)
Rewrite the complete factored expression.